Question

abcd ~ rstu. what are m∠t and m∠s? m∠t = □° m∠s = □°

Explanation:

Step1: Use the property of similar polygons

Similar polygons have corresponding angles equal. So, in \(ABCD\sim RSTU\), \(\angle T\) corresponds to \(\angle C\) and \(\angle S\) corresponds to \(\angle B\).

Step2: Find \(m\angle T\)

Since \(\angle T\) and \(\angle C\) are corresponding angles, \(m\angle T = m\angle C\). Given \(m\angle C=63^{\circ}\), so \(m\angle T = 63^{\circ}\).

Step3: Find \(m\angle S\)

Since \(\angle S\) and \(\angle B\) are corresponding angles, \(m\angle S = m\angle B\). Given \(m\angle B = 53^{\circ}\), so \(m\angle S=53^{\circ}\).

Answer:

\(m\angle T = 63^{\circ}\), \(m\angle S = 53^{\circ}\)